Arithmetic Questions for IBPS RRB Exam 2025 With Solutions

The Arithmetic section is an important part of the IBPS RRB Exam 2025. It checks your basic maths skills and how fast you can solve questions. Topics like percentage, profit and loss, ratio and proportion, time and work, and simple interest are often asked. To help you prepare better, here are some important arithmetic questions with easy solutions. These will help you understand the tricks and build your confidence for the exam.

Key Concepts in Arithmetic

The Arithmetic section of the IBPS RRB exam includes a variety of topics that test a candidate’s understanding of basic mathematical concepts and their application in solving complex problems. Some of the key concepts covered in this section are:

• Number System: This includes topics such as whole numbers, integers, fractions, decimals, and the fundamental operations of addition, subtraction, multiplication, and division.
• Percentage: Understanding percentages is crucial as it forms the basis for many other topics like profit and loss, simple interest, and compound interest.
• Ratio and Proportion: These concepts are essential for solving problems related to mixtures, partnerships, and scaling.
• Average: Questions on averages test the ability to find the mean of a set of numbers and understand the distribution.
• Profit and Loss: This topic involves calculating profit or loss incurred in business transactions and understanding the percentage change in value.
• Simple and Compound Interest: These topics deal with the calculation of interest over time, distinguishing between simple interest and compound interest.
• Time and Work: This involves problems related to the amount of work done in a given time and the concept of work efficiency.
• Time, Speed, and Distance: These problems require understanding the relationship between time, speed, and distance and solving related questions.
• Mixtures and Allegations: This topic involves calculating the concentration of different components in a mixture and solving related problems.

Arithmetic Questions for IBPS RRB 2025: Click Here To Download

Arithmetic Questions for IBPS RRB Exam 2025 With Solutions

Q1. There were two solid spherical balls. The ratio between radius of first ball to that of second ball is 4 : 3. The second ball was cut into two equal halves and the difference between total surface area of first ball and total surface area of a part of second ball is 1424.5 cm². Find value of radius of bigger ball?

(a) 14 cm

(b) 16 cm

(c)  10.5 cm

(d) 20 cm

(e) 28 cm

Q2. Pipe P alone & Pipe Q alone can fill same tank in 24 hours and in 15 hours respectively and another pipe R alone can empty same tank in 20 hours. If pipe P, Q & R are opened alternatively for an hour to fill the same tank in such a way that pipe Q opened in 1^st hour and then pipe R (outlet) and then pipe P, then find time taken to fill the tank?

(a)  51 1/8 hours

(b) 52 hours

(c)  50 3/8 hours

(d)  51 1/5 hours

(e) 49 hours

Q3. Maanik and Shivam entered into a partnership by investing Rs.20000 and Rs.32000 respectively. After 4 months, Maanik increased his investment by 50% and after another 6 months Shivam increased his investment by 25%. If at the end of the year Shivam got a profit of Rs.30000, then find total profit?

(a) Rs.80000

(b) Rs.77000

(c)  Rs.54000

(d) Rs.93000

(e) Rs.12000

Q4. Deepak invested Rs. P for 2 years in scheme A at the rate of 18% p.a. on compound annually and received a total amount of Rs.83544 from scheme A. He then invested Rs. (P+X) in another scheme B for 2 years at the rate 20% p.a. on simple interest. If he received Rs.30000 as interest from scheme B, then find X?

(a) Rs 24000

(b)Rs 28000

(c) Rs 12000

(d)Rs 22000

(e)Rs 15000

Q5. The cost price of 2 bats is equal to the cost price of 6 balls. If ratio of number of bats to that of balls sold by shopkeeper is 2 : 3 and bats are sold at 40% profit and balls are sold at % profit, then what is the overall profit percentage of shopkeeper.

(a)76 2/3 %

(b)  38 1/3 %

(c)59 2/3 %

(d)43 1/3 %

(e) 22 2/3%

Q6. ‘A’ has a certain average for 9 innings. In the tenth innings he scores 100 runs thereby increasing his average by 8 runs. His new average is

(a) 20

(b) 24

(c) 28

(d) 32

(e) None of these

Q7. Veer, Sameer & Gopal started a business with initial investment in the ratio of 10 : 12 : 9 respectively. At the end of one year Veer, Sameer & Gopal withdrew Rs. 1000, Rs. 1200 and Rs. 1500 respectively from their initial investment. If at the end of two years Sameer got Rs. 16200 as profit share out of total profit of Rs. 40950, then find the initial investment of Gopal?

(a) 4500 Rs.

(b) 4200 Rs.

(c) 3600 Rs.

(d) 3200 Rs.

(e) 4800 Rs.

Q8. The average age of 16 student in a class is x year. If a teacher whose age is 54 years joined the class than average of the class increases by 2 years. Find the value of x?

(a) 18 years

(b)25 year

(c) None of these

(d) 20 years

(e) 30 years

Q9. Ratio of upstream speed to downstream speed is 1 : 11. If speed of boat in still water is 30 km/hr then find the distance covered in upstream in 5 hours ? (in km)

(a) 66

(b) 55

(c) 25

(d) 30

(e) 40

Q10. The speed of boat in still water is 700% more than speed of stream. Boat travels distance of 63 km in downstream in 2 hr 48 min. Then, find the time taken by boat to travel 56 km in upstream.

(a) 2 hr 56 min

(b) 3 hr 02 min

(c) 3 hr 12 min

(d) 3 hr 36 min

(e) 4 hr 12 min

Q11. If the price of milk is increased by 25% then a person can buy 8 litres less milk by spending Rs 160. Find the final rate of milk?

(a) Rs 4 per litre

(b) Rs 5 per litre

(c) Rs 8 per litre

(d) Rs 6 per litre

(e) Rs 7 per litre

Q12. Two trains are travelling with speed 144 km/hr and 108 km/hr crosses each other in 6 sec while travelling in opposite direction. The longer train whose length is 60 m more then smaller train and running with speed of 108 km/hr crosses a railway platform in 20 sec. Find the time taken by the smaller train to cross the same platform.

(a) 13.5 sec

(b) 11.5 sec

(c) 12.5 sec

(d) 14.5 sec

(e) 18.5 sec

Q13. Ratio between principle to C.I. for two years is 25 :11. Find the principle if difference between CI & SI for two years is given as Rs 240?

(a) Rs 6000

(b) Rs 5400

(c) Rs 6400

(d) Rs 5000

(e) Rs 4000

Q14. A man borrowed Rs. 10000 from his friend at the rate of 5% p.a. for three years at S.I. Out of total amount he borrowed he invested 80% of amount at the rate of R% p.a. on compound interest for three years and rest he spend. If after three year man still has to pay 852 as interest to his friend, then find ‘R’?

(a) 10%

(b) 5%

(c) 8%

(d) 12%

(e) 15%

Q15. Speed of Satish is 40% of speed of Aman. Aman covers 2340 m in 18 seconds. Find in how much time Satish can cover 468 m.

(a) 8 seconds

(b) 9 seconds

(c) 10 seconds

(d) 11 seconds

(e) 12 seconds

Q16. On a day, Sita typed an essay of 6000 words in 40 min. Next day, she typed the same essay with speed 12% faster than the previous day speed. Find the time she took to type the essay on next day ?

(a) 310/7 min

(b) 250/7 min

(c) 40 min

(d) 30 min

(e) 125/7 min

Q17. (1250 + 1725) ÷ (825 + 365) = ?

(a) 1.5

(b) 2.5

(c) 1

(d) 2.25

(e) 2.75

Q18. √625 ÷ √16 × 6 = ?% of 300

(a) 15

(b) 12.5

(c) 17.5

(d) 10

(e) 8.5

Q19. 26 × 15 + 310 – (15)² = 25% of ?

(a) 1600

(b) 1800

(c) 1900

(d) 1500

(e) 1700

Q20. √81 × √625 + 1225 = (?)² – 150

(a) 50

(b) 45

(c) 35

(d) 30

(e) 40

Q21. There are some cards in a box, and the numbers written on the cards range from 1 to 60. If one card is taken from the box, then find the probability that the card taken out is a multiple of seven.
(a) 11/15
(b) 7/15
(c) 4/15
(d) 1/15
(e) 2/15

Q22. A man spends 40% of his monthly salary on travelling and 25% of the remaining monthly salary on rent. He then spends his remaining monthly salary on food and FD in the ratio of 2:3 respectively. If the difference between the amount spent on FD and travelling is Rs 2600, then find the amount spent on food (in Rs).
(a) 1800
(b) 3600
(c) 2400
(d) 3250
(e) 4000

Q23. A and B together can complete a work in 6 days. If B takes 16 days more than A to complete the work, then in how many days can A complete the whole work?
(a) 24
(b) 8
(c) 9
(d) 12
(e) 15

Q24. A man spends 1/5th of his monthly salary on house rent and 1/4th of the remaining salary on his food. From his remaining monthly salary, he spends 5/9th on travelling and saves the rest. If the difference between the amount he saved and the amount he spent on house rent is Rs 6000, then find the monthly salary of the man (in Rs).
(a) 90000
(b) 110000
(c) 100000
(d) 80000
(e) 120000

Q25. Rs Y is distributed between Jack, Kolvin, Love, and Mosu. The amount received by Jack is 5/4th of the amount received by Love and the amount received by Kolvin is 2/5th less than the amount received by Jack. If the amount received by Mosu is Rs 1000 less than that of Love and the difference between the amount received by Jack and Mosu is Rs 2000, then find the value of Y (in Rs).
(a) 20000
(b) 18000
(c) 10000
(d) 12000
(e) 15000

Q26. The time taken by a boat to cover 240 km upstream is 30 hours and the boat can cover Y + 8 km downstream in 24 hours. If the speed of the boat in still water is 400% more than the speed of the stream, then find the value of Y (in km).
(a) 288
(b) 280
(c) 232
(d) 252
(e) 312

Q27. Five years hence, the age of P is equal to the age of Q seven years ago. After four years, the ratio of the ages of Q to P is 3:2. Find the sum of the present ages of P and Q (in years).
(a) 56
(b) 48
(c) 52
(d) 50
(e) 54

Q28. In a mixture of milk and water, the quantity of water is 1/9th of the total mixture. If 54 liters of mixture are removed and 10 liters of water are added to the mixture, then the quantity of milk in the resultant mixture becomes 32 liters. Find the initial quantity of water in the mixture.
(a) 5 liters
(b) 15 liters
(c) 10 liters
(d) 20 liters
(e) 25 liters

Q29. Ram and Shyam started a business with investments of Rs 3600 and Rs (P – 3600) respectively. After nine months, Ram left the business and his profit share is Rs 3600 out of the total profit of Rs 6800. Find the investment of Shyam (in Rs).
(a) 6000
(b) 2400
(c) 3600
(d) 3000
(e) 4000

Q30. The average weight of 96 students in a group is 45 kg. If 24 more students joined the group, then the average weight decreased by 3 kg. Find the average weight of the 24 new students in the group.
(a) 40
(b) 36
(c) 35
(d) 25
(e) 30